Directional isoperimetric inequalities and rational homotopy invariants
Differential Geometry
2008-02-26 v1
Abstract
We estimate the second order linking invariants of Lipschitz maps from an n-dimensional ellipse. The estimate uses a new directionally-dependent version of the isoperimetric inequality for cycles inside the ellipse. Using this work, we prove new lower bounds for the k-dilation of maps from one ellipse to another.
Keywords
Cite
@article{arxiv.0802.3549,
title = {Directional isoperimetric inequalities and rational homotopy invariants},
author = {Larry Guth},
journal= {arXiv preprint arXiv:0802.3549},
year = {2008}
}
Comments
21 pages, 5 figures